Estimated Parameters of Exponential Smoothing
ParameterValue
alpha1
beta0.106401285899114
gammaFALSE


Interpolation Forecasts of Exponential Smoothing
tObservedFittedResiduals
3123.07124.79-1.72
4119.52121.876989788254-2.35698978825351
5118.03118.076203043932-0.0462030439322518
6117.27116.5812869806450.68871301935458
7117.27115.894566931521.37543306847979
8116.69116.0409147786750.649085221325379
9115.38115.529978280882-0.149978280881754
10114.31114.2040203989390.105979601061009
11113.33113.1452967647710.184703235229037
12111.79112.184949426509-0.394949426509044
13111.79110.6029262996631.18707370033663
14110.92110.7292324678360.190767532163775
15109.37109.879530378566-0.50953037856624
16107.04108.275315691082-1.23531569108214
17104.72105.81387651306-1.09387651305964
18104.14103.3774866454550.762513354544751
19104.14102.8786190468941.26138095310594
20102.95103.012831602313-0.0628316023131816
21102.13101.8161462390320.31385376096803
22101.01101.029540682783-0.0195406827832159
23100.0799.90746152900780.162538470992232
2499.498.98475583132940.415244168670611
2599.498.35893834483811.04106165516194
2699.3498.46970864364760.870291356352439
2797.7298.5023087630703-0.782308763070347
2896.2696.7990701047095-0.539070104709495
2995.7795.28171235237860.488287647621348
3095.0494.84366678597420.196333214025799
3195.0494.13455689241130.905443107588738
3294.5594.23089720336720.319102796632791
339493.77485015126290.225149848737075
3493.1493.2488063846885-0.108806384688549
3591.2192.3772292454436-1.16722924544365
3690.390.3230345527894-0.0230345527893832
3790.389.41058364675250.889416353247512
3889.7489.50521869043770.23478130956228
3989.0788.97019972368020.099800276319769
4089.0688.31081860141370.749181398586273
4188.9788.3805324655950.589467534404974
4288.7888.35325256925150.42674743074852
4388.7888.20865904463730.571340955362729
4488.2388.2694504569747-0.0394504569746914
4587.9187.71525287762330.194747122376711
4687.7987.41597422186930.374025778130701
4787.8987.33577104562180.554228954378161
488887.49474171905020.505258280949803
498887.65850184985440.341498150145569
5087.0887.6948376921621-0.614837692162084
5185.7586.7094181710968-0.9594181710968
5284.2985.2773348439771-0.987334843977109
5384.3983.7122811469650.677718853035046
5483.7283.884391304406-0.164391304405953
5583.7283.19689985822650.523100141773469
5681.7683.2525583859652-1.49255838596522
5781.5381.1337482544190.396251745580969
5880.5580.9459099496886-0.395909949688615
5979.8379.9237846219415-0.0937846219414951
6078.9879.1938058175694-0.213805817569352
6178.9878.32105660364730.65894339635274
6278.2778.3911690283539-0.121169028353933
6377.4177.6682764879259-0.258276487925926
6476.7576.7807955374931-0.0307955374930913
6576.3876.11751885270390.262481147296114
6674.9675.7754471843004-0.815447184300453
6774.9674.26868255530810.691317444691919
6874.4674.34223962038780.117760379612207
6974.0473.85476947620650.185230523793521
7073.2273.4544782421259-0.234478242125903
7172.9772.60952945564830.360470544351671
7272.9172.39788398509610.512116014903896
7372.9172.39237378761140.517626212388592
7473.2772.44744988222460.822550117775364
7572.9372.89497027247240.0350297275276006
7672.6772.5586974805260.111302519473952
7771.9472.3105402117219-0.370540211721888
7871.971.54111425671730.35888574328267
7971.8971.53930016129350.350699838706518
8071.7271.56661507509650.153384924903534
8170.8571.4129354283437-0.562935428343735
8269.8270.4830383748898-0.663038374889794
8369.6169.38249023920110.227509760798938
8469.4869.19669757030470.28330242969534


Extrapolation Forecasts of Exponential Smoothing
tForecast95% Lower Bound95% Upper Bound
8569.096841313122667.779031817517370.4146508087279
8668.713682626245266.748367884329770.6789973681607
8768.330523939367865.797375323970.8636725548356
8867.947365252490464.875056203863571.0196743011172
8967.56420656561363.963025317012571.1653878142135
9067.181047878735663.05255738015971.3095383773122
9166.797889191858262.138899330443171.4568790532732
9266.414730504980861.21924342628871.6102175836735
9366.031571818103460.291845904009671.7712977321972
9465.64841313122659.355590975409371.9412352870426
9565.265254444348658.409754554762772.1207543339344
9664.882095757471257.453867225254172.3103242896882